Natural Numbers

Natural numbers are a set of numbers that are used for counting and ordering. They are also referred to as the positive integers. The set of natural numbers is represented by the symbol "N" and it includes the numbers 1, 2, 3, 4, 5, and so on.

Properties of Natural Numbers

1. Closure under Addition: When you add two natural numbers, the result is always a natural number.
2. Closure under Multiplication: When you multiply two natural numbers, the result is always a natural number.
3. Non-Closure under Subtraction: When you subtract one natural number from another, the result may not always be a natural number.
4. Non-Closure under Division: When you divide one natural number by another, the result may not always be a natural number.
5. Countability: Natural numbers are countable and can be arranged in a sequence.

Examples of Natural Numbers:

• 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ...

Study Guide

To study natural numbers, it's important to understand the basic properties and operations involving natural numbers. Here are some key points to focus on:

1. Understand the concept of natural numbers and their role in counting and ordering.
2. Learn the properties of natural numbers, including closure under addition and multiplication, and non-closure under subtraction and division.
3. Practice identifying and listing natural numbers in sequence.
4. Work on solving problems involving addition, subtraction, multiplication, and division of natural numbers.

By mastering these concepts and properties, you will gain a solid understanding of natural numbers and their applications in mathematics.